marshmellow111000 marshmellow111000

24-03-2015
Mathematics

Answered

Are the lines 2y-10x=4 and y-2=5x parallel ??

Answer :

Hippalectryon Hippalectryon

24-03-2015

First line y=(4+10x)/2=5x+2
Second line : y=5x+2

We see that the two have the same leading coefficient (5) hence they are parallel.

Answer Link

SchwarzschildRadius SchwarzschildRadius

24-03-2015

Well,

If the slope of the lines are the same, then the lines are parralel.

We need to manipulate 2y - 10x = 4 into y = mx + b form.

Add 10x to both sides
2y = 10x + 4

Divide both sides by 2
y = 5x + 2

Do the same thing with the other equation.

Add 2 to both sides
y = 5x + 2

y = 5x + 2

It appears that, not only are they parallel, but they lie on exactly the same line! If this was a System of Simultaneous Linear Equations, then there would be an infinite number of solutions!

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